You can also think of it algebraically, in that all numbers form a monoid under max and min.
The operation is associative, and there exists an identity, namely -infinity for max and infinity for min.
And if you define max/min with arbitrarily many arguments inductively, then the empty operation has to return the identity.
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You can also think of it algebraically, in that all numbers form a monoid under max and min.
The operation is associative, and there exists an identity, namely -infinity for max and infinity for min.
And if you define max/min with arbitrarily many arguments inductively, then the empty operation has to return the identity.